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Finding the Fourth Proportional to 23,834.52, 32,892.98 and 14,406.12

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Solution

The fourth proportional to 23,834.52, 32,892.98 and 14,406.12 is: 19,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.52 : 32,892.98 = 14,406.12 : x
  2. Step 2: Convert to fraction form
    23,834.52/32,892.98 = 14,406.12/x
  3. Step 3: Cross multiply
    23,834.52x = 32,892.98 × 14,406.12
  4. Step 4: Simplify right side
    23,834.52x = 473,860,145.01
  5. Step 5: Solve for x
    x = 473,860,145.01/23,834.52
  6. Step 6: Final answer
    x = 19,881.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.